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Finding the Fourth Proportional to 208,990.12, 313,443.24 and 102,328.10

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Solution

The fourth proportional to 208,990.12, 313,443.24 and 102,328.10 is: 153,471.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,990.12 : 313,443.24 = 102,328.10 : x
  2. Step 2: Convert to fraction form
    208,990.12/313,443.24 = 102,328.10/x
  3. Step 3: Cross multiply
    208,990.12x = 313,443.24 × 102,328.10
  4. Step 4: Simplify right side
    208,990.12x = 32,074,051,207.04
  5. Step 5: Solve for x
    x = 32,074,051,207.04/208,990.12
  6. Step 6: Final answer
    x = 153,471.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.